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Simplifying 2x2 + 4y2 + -2z2 + -5y = 0 Reorder the terms: 2x2 + -5y + 4y2 + -2z2 = 0 Solving 2x2 + -5y + 4y2 + -2z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x2 + -5y + 4y2 + 5y + -2z2 = 0 + 5y Reorder the terms: 2x2 + -5y + 5y + 4y2 + -2z2 = 0 + 5y Combine like terms: -5y + 5y = 0 2x2 + 0 + 4y2 + -2z2 = 0 + 5y 2x2 + 4y2 + -2z2 = 0 + 5y Remove the zero: 2x2 + 4y2 + -2z2 = 5y Add '-4y2' to each side of the equation. 2x2 + 4y2 + -4y2 + -2z2 = 5y + -4y2 Combine like terms: 4y2 + -4y2 = 0 2x2 + 0 + -2z2 = 5y + -4y2 2x2 + -2z2 = 5y + -4y2 Add '2z2' to each side of the equation. 2x2 + -2z2 + 2z2 = 5y + -4y2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 2x2 + 0 = 5y + -4y2 + 2z2 2x2 = 5y + -4y2 + 2z2 Divide each side by '2'. x2 = 2.5y + -2y2 + z2 Simplifying x2 = 2.5y + -2y2 + z2 Reorder the terms: x2 + -2.5y + 2y2 + -1z2 = 2.5y + -2.5y + -2y2 + 2y2 + z2 + -1z2 Combine like terms: 2.5y + -2.5y = 0.0 x2 + -2.5y + 2y2 + -1z2 = 0.0 + -2y2 + 2y2 + z2 + -1z2 x2 + -2.5y + 2y2 + -1z2 = -2y2 + 2y2 + z2 + -1z2 Combine like terms: -2y2 + 2y2 = 0 x2 + -2.5y + 2y2 + -1z2 = 0 + z2 + -1z2 x2 + -2.5y + 2y2 + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 x2 + -2.5y + 2y2 + -1z2 = 0 The solution to this equation could not be determined.
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